Ellipsoidal Effects, Modelling and Technique Refinements in High Accuracy Quasigeoid Computation
Result description
The paper focuses on methodological and computational aspects associated with high accuracy quasigeoid modelling. Accuracy demands driven by GNSS levelling applications are substantially taken into consideration. The concept of the so-called gravimetricboundary value problem was used as the basis for the determination of the disturbing potential from gravity disturbances. In the approach developed the Green?s function constructed for the exterior of an oblate ellipsoid of revolution is essentially usedfor the solution of the problem. The mathematical apparatus is constructed consistently. The idea of spherical approximation was avoided. This also means that the kernel used for the integral representation of the solution is an ellipsoidal analogue tothe so-called Hotine-Koch function well-known in physical geodesy. Fundamental steps leading from an ellipsoidal harmonics series representation of the kernel into its closed form expression are explained. Legendre elliptic integrals were
Keywords
Earth?s gravity potentialgravimetric boundary value problemGreen?s functionreproducing kernelsconvolutionquasigeoid
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Ellipsoidal Effects, Modelling and Technique Refinements in High Accuracy Quasigeoid Computation
Original language description
The paper focuses on methodological and computational aspects associated with high accuracy quasigeoid modelling. Accuracy demands driven by GNSS levelling applications are substantially taken into consideration. The concept of the so-called gravimetricboundary value problem was used as the basis for the determination of the disturbing potential from gravity disturbances. In the approach developed the Green?s function constructed for the exterior of an oblate ellipsoid of revolution is essentially usedfor the solution of the problem. The mathematical apparatus is constructed consistently. The idea of spherical approximation was avoided. This also means that the kernel used for the integral representation of the solution is an ellipsoidal analogue tothe so-called Hotine-Koch function well-known in physical geodesy. Fundamental steps leading from an ellipsoidal harmonics series representation of the kernel into its closed form expression are explained. Legendre elliptic integrals were
Czech name
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Czech description
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Classification
Type
A - Audiovisual production
CEP classification
DE - Earth magnetism, geodesy, geography
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
ISBN
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Place of publication
Shanghai
Publisher/client name
International Association of Geodesy
Version
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Carrier ID
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Basic information
Result type
A - Audiovisual production
CEP
DE - Earth magnetism, geodesy, geography
Year of implementation
2014